Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 3

EASY

AS and A Level

IMPORTANT

Earn 100

The table below shows the heights, in metres, of $50$ boys and of $50$ girls.

Height $(m)$ $1.2$ $1.3 -$ $1.6 -$ $1.8 - 1.9$

No. boys $(f)$ $7$ $11$ $26$ $6$

No. girls $(f)$ $10$ $22$ $16$ $2$

How many children are between $1.3$ and $1.6$ metres tall?

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Important Questions on Representation of Data

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 3

The table below shows the heights, in metres, of

50

boys and of

50

girls.

Height $(m)$	$1.2$	$1.3 -$	$1.6 -$	$1.8 - 1.9$
No. boys $(f)$	$7$	$11$	$26$	$6$
No. girls $(f)$	$10$	$22$	$16$	$2$

Draw a histogram to represent the heights of all the boys and girls together.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 3

The table below shows the heights, in metres, of

50

boys and of

50

girls.

Height $(m)$	$1.2$	$1.3 -$	$1.6 -$	$1.8 - 1.9$
No. boys $(f)$	$7$	$11$	$26$	$6$
No. girls $(f)$	$10$	$22$	$16$	$2$

Estimate the number of children whose heights are

1.7

metres or more.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 4

The heights of

600

saplings are shown in the following table.

Height $(cm)$	$0 -$	$5 -$	$15 -$	$30 - u$
No. saplings $(f)$	$64$	$232$	$240$	$64$

Suggest a suitable value for

u,

the upper boundary of the data.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 4

The heights of

600

saplings are shown in the following table.

Height $(cm)$	$0 -$	$5 -$	$15 -$	$30 - 50$
No. saplings $(f)$	$64$	$232$	$240$	$64$

Illustrate the data in a histogram.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 4

The heights of

600

saplings are shown in the following table.

Height $(cm)$	$0 -$	$5 -$	$15 -$	$30 - u$
No. saplings $(f)$	$64$	$232$	$240$	$64$

Calculate an estimate of the number of saplings with heights that are:
less than

25 cm

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 4

The heights of

600

saplings are shown in the following table.

Height $(cm)$	$0 -$	$5 -$	$15 -$	$30 - u$
No. saplings $(f)$	$64$	$232$	$240$	$64$

Calculate an estimate of the number of saplings with heights that are:
between

7.5

and

19.5 cm .

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 5

Each of the

70

trainees at a secretarial college was asked to type a copy of a particular document. The times taken are shown, correct to the nearest

0.1

minutes, in the following table.

Time taken (min)	$2.6 - 2.8$	$2.9 - 3.0$	$3.1 - 3.2$	$3.3 - 3.7$
No. trainees $(f)$	$15$	$25$	$20$	$10$

Explain why the interval for the first class has a width of

0.3

minutes.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 1 - Representation of Data>EXERCISE 1B>Q 5

Each of the

70

trainees at a secretarial college was asked to type a copy of a particular document. The times taken are shown, correct to the nearest

0.1

minutes, in the following table.

Time taken (min)	$2.6 - 2.8$	$2.9 - 3.0$	$3.1 - 3.2$	$3.3 - 3.7$
No. trainees $(f)$	$15$	$25$	$20$	$10$

Represent the times taken in a histogram.